Monotone sequence converges iff it is bounded, Prove it?

Afon homework hami lai dini tesari Chintamani Ji, bhayena ni teo ta yaar.

hehe. Its just two lines answer.

HINT: Every Convergent sequence is bounded.

monotone sequence (of real nos ni pheri) converges when it has a finite limit. since limit is finite only when the swquence is bounded, the sequence converges iff it is bounded.

but that doesnot completes the proof

two steps:
1) you can prove that a monotone sequence converges when it has a finite limit (by contradiction...assume that a sequence has a finite limit and try to prove that it's not convergent...u'll get the contradiction).

2) the limit is finite iff it is bounded (by identity)

lol...Chintamani is doing real analysis. Google it dude. :)